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Finding the Fourth Proportional to 15,767.70, 23,629.29 and 8,750.82

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Solution

The fourth proportional to 15,767.70, 23,629.29 and 8,750.82 is: 13,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.70 : 23,629.29 = 8,750.82 : x
  2. Step 2: Convert to fraction form
    15,767.70/23,629.29 = 8,750.82/x
  3. Step 3: Cross multiply
    15,767.70x = 23,629.29 × 8,750.82
  4. Step 4: Simplify right side
    15,767.70x = 206,775,663.52
  5. Step 5: Solve for x
    x = 206,775,663.52/15,767.70
  6. Step 6: Final answer
    x = 13,113.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.